log_{9}(x+9)^{6}-log_3\nthroot{4}{x+9}=1

12log5+ylog25=xlog5

xlog25-2ylog125=\frac{1}3log15625

2log6+ylog36=xlog6

xlog4-2ylog8=\frac{1}5log1024

log_3(x+y)-log_3(y-4)=1

3^{x}=3^5\cdot3^{y}

9log2+ylog4=xlog2

xlog4-2ylog8=\frac{1}6log4096

3log10+ylog100=xlog10

xlog4-2ylog8=\frac{1}5log1024

log_{9}(x+2)^{12}-log_3\nthroot{3}{x+2}=1

log_7(x+y)-log_7(y-9)=1

7^{x}=7^1\cdot7^{y}

log_7(x+y)-log_7(y-10)=1

7^{x}=7^5\cdot7^{y}

5log3+ylog9=xlog3

xlog4-2ylog8=\frac{1}6log4096

15log4+ylog16=xlog4

xlog25-2ylog125=\frac{1}3log15625

15log2+ylog4=xlog2

xlog9-2ylog27=\frac{1}6log531441

log_{25}(x+11)^{12}-log_5\nthroot{5}{x+11}=1

log_{4}(x+8)^{2}-log_2\nthroot{6}{x+8}=1

log_{10}(x)-log_{10}(y)=3

log_{20}(4\cdot x)+log_{20}(y+3198)=5+log_{20}(8)

log_{5}(x)-log_{5}(y)=2

log_{10}(2\cdot x)+log_{10}(y+399)=4+log_{10}(2)

log_{2}(x)-log_{2}(y)=2

log_{2}(3\cdot x)+log_{2}(y+3)=4+log_{2}(3)

6log2+ylog4=xlog2

xlog16-2ylog64=\frac{1}4log65536

log_{2}(x)-log_{2}(y)=1

log_{6}(2\cdot x)+log_{6}(y+105)=3+log_{6}(6)

log_{10}(x)-log_{10}(y)=3

log_{20}(4\cdot x)+log_{20}(y+159)=4+log_{20}(4)

log_{25}(x+11)^{8}-log_5\nthroot{5}{x+11}=1

log_{3}(x)-log_{3}(y)=2

log_{9}(4\cdot x)+log_{9}(y+726)=4+log_{9}(12)

log_{5}(x)-log_{5}(y)=1

log_{5}(3\cdot x)+log_{5}(y+22)=3+log_{5}(9)

log_6(x+y)-log_6(y-1)=1

6^{x}=6^1\cdot6^{y}